Transformation relations of matrix functions associated to the hypergeometric function of Gauss under modular transformations

DOI10.2969/jmsj/1180135503zbMath1121.33002OpenAlexW1991130793MaRDI QIDQ873727

Humihiko Watanabe

Publication date: 2 April 2007

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1180135503

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05)

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